{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1, y1 = datasets.make_circles(n_samples=2000, factor=0.5, noise=0.05)\n",
    "# 中心位置（）1.2,1.2），标准差是0.1\n",
    "x2, y2 = datasets.make_blobs(n_samples=1000, centers=[[1.2,1.2]], cluster_std=[[.1]])\n",
    "\n",
    "# 合并数据\n",
    "x = np.concatenate((x1, x2))\n",
    "plt.scatter(x[:, 0], x[:, 1], marker='o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 首先用K-means来做\n",
    "from sklearn.cluster import KMeans\n",
    "y_pred = KMeans(n_clusters=3).fit_predict(x)  # 3个类别。感觉\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "# 无参数，用默认的话就只有一个类别！！！\n",
    "y_pred = DBSCAN().fit_predict(x)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 加入参数e邻域\n",
    "y_pred = DBSCAN(eps = 0.2).fit_predict(x)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 参数e邻域和参数minpoints\n",
    "y_pred = DBSCAN(eps = 0.2, min_samples=50).fit_predict(x)\n",
    "plt.scatter(x[:, 0], x[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
